报告题目:Algebraic structures of skew constacyclic codes and their applications
报 告 人:Hai Quang Dinh 教授
报告时间:2019年7月31号(周三)下午14:30
报告地点:磬苑校区数学科学学院H306
报告摘要:We discuss the foundation and properties of skew $\Theta$-$\lambda$-constacyclic codes over finite fields and finite commutative chain rings for any unit $\lambda$ and automorphism $\Theta$ that fixes $\lambda$. As in the situation of classical constacyclic codes, the dual of a skew constacyclic code is in turn a skew constacyclic code. The algebraic structure, generator and parity-check matrices of skew $\Theta$-$\lambda$-constacyclic codes and their duals are presented. Among other results, we also consider the self-dual skew constacyclic codes, and skew constacyclic codes with complementary duals. Moreover, some generalizations and applications of the concept of skew constacyclic codes are explored.
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科学技术处
2019年7月26日




